cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-4 of 4 results.

A222769 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order.

Original entry on oeis.org

1, 0, 0, 0, 3, 0, 3, 4, 4, 0, 4, 11, 13, 20, 0, 4, 18, 66, 96, 48, 0, 5, 73, 158, 465, 301, 175, 0, 20, 152, 934, 2608, 3431, 2242, 512, 0, 27, 470, 2446, 15077, 19766, 25772, 7575, 1719, 0, 48, 1022, 14567, 89811, 256546, 333978, 196185, 55958, 5400, 0, 63, 3361, 39972
Offset: 1

Views

Author

R. H. Hardin Mar 05 2013

Keywords

Comments

Table starts
.1......0........0..........3............4...............4.................5
.0......3........4.........11...........18..............73...............152
.0......4.......13.........66..........158.............934..............2446
.0.....20.......96........465.........2608...........15077.............89811
.0.....48......301.......3431........19766..........256546...........1570588
.0....175.....2242......25772.......333978.........4479721..........62017670
.0....512.....7575.....196185......2645385........79612578........1139211468
.0...1719....55958....1508369.....45830457......1432512703.......46316300783
.0...5400...196442...11685222....370518626.....26011740182......872037778022
.0..17776..1448568...91068653...6504289924....475591230143....36016907441620
.0..57420..5188656..713197411..53224723750...8742929996332...687733392122744
.0.188656.38338122.5607868082.942396671062.161434491485598.28680675666813436

Examples

			Some solutions for n=3 k=4
..0..1..1..1....0..0..1..1....0..0..0..0....0..0..0..1....0..0..0..0
..1..1..1..0....0..0..1..0....1..1..0..0....0..0..0..1....0..0..0..0
..1..1..1..0....0..0..0..0....0..0..0..0....0..1..1..1....1..1..1..1

Links

Crossrefs

Row 1 is A222283

A222509 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order.

Original entry on oeis.org

1, 0, 0, 0, 0, 0, 3, 4, 4, 0, 4, 3, 4, 11, 0, 4, 10, 15, 35, 8, 0, 5, 32, 35, 84, 87, 44, 0, 20, 44, 170, 423, 497, 496, 144, 0, 27, 176, 441, 1753, 2066, 2862, 1335, 352, 0, 48, 326, 2192, 8489, 17674, 23678, 15420, 7552, 692, 0, 63, 888, 5416, 39873, 81537, 195968, 128889
Offset: 1

Views

Author

R. H. Hardin Feb 23 2013

Keywords

Comments

Table starts
.1.....0.......0........3..........4...........4............5...........20
.0.....0.......4........3.........10..........32...........44..........176
.0.....4.......4.......15.........35.........170..........441.........2192
.0....11......35.......84........423........1753.........8489........39873
.0.....8......87......497.......2066.......17674........81537.......800040
.0....44.....496.....2862......23678......195968......1802656.....17117005
.0...144....1335....15420.....128889.....2220730.....19892241....385142640
.0...352....7552....86570....1529195....25587208....473772613...8962277166
.0...692...21382...484976....8569032...297738400...5455705052.212898244002
.0..2488..122942..2751326..102004630..3488244716.132847734428
.0..6476..348597.15597305..577797690.41065342664
.0.17095.2045395.89022483.6918500106

Examples

			Some solutions for n=3 k=4
..0..0..0..0....0..0..1..1....0..0..0..0....0..1..1..1....0..1..1..0
..0..0..0..0....0..0..1..1....0..0..0..0....1..1..1..1....1..1..1..1
..0..1..0..1....0..0..1..1....0..0..1..1....1..1..1..0....1..1..1..1

Links

Crossrefs

Column 2 is A222284
Row 1 is A222283

A222328 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order.

Original entry on oeis.org

1, 0, 0, 0, 0, 0, 3, 0, 0, 3, 4, 7, 4, 7, 4, 4, 0, 19, 19, 0, 4, 5, 32, 0, 52, 0, 32, 5, 20, 0, 84, 165, 165, 84, 0, 20, 27, 168, 212, 835, 674, 835, 212, 168, 27, 48, 0, 1366, 3307, 3770, 3770, 3307, 1366, 0, 48, 63, 948, 1302, 14419, 15100, 38238, 15100, 14419, 1302, 948
Offset: 1

Views

Author

R. H. Hardin Feb 15 2013

Keywords

Comments

Table starts
...1....0......0.......3.........4...........4............5.............20
...0....0......0.......7.........0..........32............0............168
...0....0......4......19.........0..........84..........212...........1366
...3....7.....19......52.......165.........835.........3307..........14419
...4....0......0.....165.......674........3770........15100.........172590
...4...32.....84.....835......3770.......38238.......255304........2542901
...5....0....212....3307.....15100......255304......2284728.......37484794
..20..168...1366...14419....172590.....2542901.....37484794......620488671
..27....0...1302...66213....759758....20957580....318665044....10589084713
..48..948..11152..302731...6657106...204487984...5848569858...186293287066
..63....0..21206.1350601..30994294..1778907664..53774145449..3354992092851
.175.5279.132937.6283864.298933498.17205177010.993959061317.61359735913289

Examples

			Some solutions for n=4 k=4
..0..0..0..0....0..0..0..1....0..1..1..1....0..0..0..0....0..1..1..1
..1..0..0..0....0..0..0..0....0..1..1..1....0..0..0..0....1..1..1..1
..1..0..0..0....0..0..0..0....1..1..1..1....0..0..0..0....0..1..1..1
..0..0..0..0....1..0..0..0....0..1..1..1....0..1..0..1....1..1..1..1

Links

Crossrefs

Column 1 is A222283

A222456 T(n,k) = Number of n X k 0..1 arrays with exactly floor(n X k/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order.

Original entry on oeis.org

1, 0, 0, 0, 0, 0, 3, 2, 2, 3, 4, 7, 2, 7, 4, 4, 10, 17, 17, 10, 4, 5, 23, 27, 101, 27, 23, 5, 20, 64, 194, 426, 426, 194, 64, 20, 27, 175, 467, 1722, 1847, 1722, 467, 175, 27, 48, 400, 2375, 8483, 16440, 16440, 8483, 2375, 400, 48, 63, 983, 6320, 46788, 84558, 161779, 84558
Offset: 1

Views

Author

R. H. Hardin, Feb 20 2013

Keywords

Comments

Table starts
...1....0......0........3..........4............4..............5
...0....0......2........7.........10...........23.............64
...0....2......2.......17.........27..........194............467
...3....7.....17......101........426.........1722...........8483
...4...10.....27......426.......1847........16440..........84558
...4...23....194.....1722......16440.......161779........1752892
...5...64....467.....8483......84558......1752892.......17977932
..20..175...2375....46788.....910358.....18608623......398308251
..27..400...6320...246899....4757427....201223272.....4297235804
..48..983..31706..1263032...51324484...2201719251....98149697258
..63.2498..84949..6568737..271866564..24272631638..1083889273467
.175.6409.426134.34802586.2984245628.268705232398.25078137790680

Examples

			Some solutions for n=4, k=4
..0..1..1..1....0..0..1..1....0..0..0..0....0..0..1..0....0..1..1..1
..1..1..1..1....1..1..1..1....0..0..0..0....1..1..1..1....0..0..0..0
..1..1..1..0....0..1..1..1....0..0..0..1....1..1..1..1....0..0..0..0
..1..1..1..1....1..1..1..1....0..1..1..0....1..1..1..1....0..0..0..0

Links

Crossrefs

Column 1 is A222283.
Showing 1-4 of 4 results.

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